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Finding the Fourth Proportional to 254,992.32, 382,484.16 and 88,776

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Solution

The fourth proportional to 254,992.32, 382,484.16 and 88,776 is: 133,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,992.32 : 382,484.16 = 88,776 : x
  2. Step 2: Convert to fraction form
    254,992.32/382,484.16 = 88,776/x
  3. Step 3: Cross multiply
    254,992.32x = 382,484.16 × 88,776
  4. Step 4: Simplify right side
    254,992.32x = 33,955,413,788.16
  5. Step 5: Solve for x
    x = 33,955,413,788.16/254,992.32
  6. Step 6: Final answer
    x = 133,162.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.